7.1.8 Laplace's equation V211: : O is also called the steady-state heat equation because the two-dimensional heat equation reduces to Laplace's equation when at : 0, which is often thought of as the limit as t > oo in the heat equation. Solve for the steady-state temperature distribution in a homogeneous thin at plate covering the rectangle 0 g a: g a, 0 g y 5 b, if the temperature on the vertical and lower sides are kept at zero and the temperature along the top side is f(:1?) : 353(3) (1)2